A cask is filled with 45 gallons of wine. Nine gallons are removed and
the cask is refilled with water. The nine gallons of the mixture are
removed and the cask is again refilled with water. What is the ratio of
water to wine in the final mixture?

A cafe sold tea at 30 cents a cup and cakes at 50 cents each. Everyone
in a group had the same number of cups of tea and the same number of
cakes. The bill came to $13.30. How many cups of tea did each person
have?

Two numbers have a ratio of 5:3. The larger number is 36 more than
half the difference of the two numbers. What are the two numbers?
There are two pairs of numbers that will make this a true statement.
You need to find both of them.